Finding the Fourth Proportional to 3,854.10, 5,775.00 and 2,290.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.10 : 5,775.00 = 2,290.39 : x
2. Step 2: Convert to fraction form
   3,854.10/5,775.00 = 2,290.39/x
3. Step 3: Cross multiply
   3,854.10x = 5,775.00 × 2,290.39
4. Step 4: Simplify right side
   3,854.10x = 13,227,011.71
5. Step 5: Solve for x
   x = 13,227,011.71/3,854.10
6. Step 6: Final answer
   x = 3,431.93